Continuation method for spinor Bose-Einstien condensates in triple-well potentials

• Main Authors: LIN YI CHING, 林義清
• Other Authors: Jen-Hao Chen
• Format: Others
• Language: zh-TW
• Published: 2013
• Online Access: http://ndltd.ncl.edu.tw/handle/01268090292296887306

碩士 === 國立新竹教育大學 === 應用數學系碩士班 === 102 === In this thesis, a pseudo-arclength continuation method (PACM) is employed to compute the ground state of spin-1 Bose-Einstein condensates (BEC) in triple-well potentials. The BEC is governed by the time- independent coupled Gross-Pitaevskii equations (GPE) under the conservations of the mass and magnetization. We choose spin-independent and spin-exchange coupling constants as the continuation arameters. The continuation curve starts from a ground state or an excited state with very small coupling parameters. Our numerical schemes allow us to inves- tigate the effect of the coupling constants and study the ground state structure in various triple-well potential. We also demonstrate numerical results on the ground state and their corresponding energies of spin-1 BEC with repulsive/attractive and ferromagnetic/antiferromagnetic interactions.